Diffusion phenomenon for second order linear evolution equations

• Autorzy: Ryo Ikehata , Kenji Nishihara
• Języki publikacji: EN

Abstrakty

EN

We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hilbert space. To derive the diffusion phenomenon, a new device developed in Ikehata-Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.

Kategorie tematyczne

• 34G10: Linear equations
• 35L90: Abstract hyperbolic equations
• 35E15: Initial value problems
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 158
• Numer: 2
• Strony: 153-161

Daty

wydano

2003

Twórcy

autor

Ryo Ikehata

• Department of Mathematics, Graduate School of Education, Hiroshima University, Higashi-Hiroshima 739-8524, Japan

autor

Kenji Nishihara

• School of Political Sciences and Economics, Waseda University, Tokyo 169-8050, Japan

Identyfikatory

DOI

10.4064/sm158-2-4